In a series LCR circuit, the inductive reactance (X?) is 10 Ω, and the capacitive reactance (Xc) is 4 Ω. The resistance (R) in the circuit is 6 Ω. The power factor of the circuit is :

1/√2

1/2

√3/2

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Alternating Current Overview Physics Alternating Current Physics Class 12th

In a series LCR circuit, the inductive reactance (X?) is 10 Ω, and the capacitive reactance (Xc) is 4 Ω. The resistance (R) in the circuit is 6 Ω. The power factor of the circuit is :

Option 1 -

1/2

Option 2 -

√3/2

Option 3 -

1/√2

Option 4 -

1/(2√2)

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1 Answer

Answered by

Vishal Baghel | Contributor-Level 10

a month ago

Correct Option - 3

Detailed Solution:

z = √ [R² + (X? - X? )²] = √ [6² + (4-10)²] = 6√2 Ω

Power factor = cosφ = R/z = 6/ (6√2) = 1/√2

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